Superconvergence of finite element method for the Signorini problem

被引：13

作者：

Li, Ming-xia ^{[1
]}

Lin, Qun ^{[1
]}

Zhang, Shu-hua ^{[2
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[2] Tianjin Univ Finance & Econ, Dept Math, Tianjin 300222, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 222卷 / 02期

关键词：

Finite element; The Signorini problem; Superconvergenence;

D O I：

10.1016/j.cam.2007.10.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the superconvergence of the frictionless Signorini problem. When approximated by bilinear finite elements, by virtue of the information on the contact zone, we can derive a superconvergence rate of O(h(3/2)) under a proper regularity assumption. Finally, a numerical test is given to verify our result. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：284 / 292

页数：9

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